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5×5 BOARD / WITHOUT REPLACEMENT

Stake Mines: mechanics and probability

No tile position is inherently safer. Once the mine count and number of revealed safe tiles are known, combinations determine the next-step and consecutive-success probabilities. This review separates the mathematics from strategy claims.

Editorial review: StakeGuide JP editorial desk Last checked:
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Board
5×5
25 tiles total
Mines
1 to 24
selected before a round
Published RTP
99.00%
checked 2026-09-01
House edge
1.00%
long-run theory

01

Translate the rules into probability

At the start, m of 25 tiles are mines and the rest are safe. Each safe reveal removes one safe tile from the unknown pool. Hitting a mine ends the round; after a safe tile, the user can stop or select again.

The visual position carries no information under the published model. Corners, centres and tiles next to a previous safe result all have the same prior chance at a given step. A selection pattern may structure behaviour, but it does not improve the probability.

  • More mines increase first-pick failure probability
  • Each safe reveal increases the mine share among unseen tiles
  • Stopping earlier changes variance, not the published house edge

02

With three mines, five safe picks occur about 49.565% of the time

With three mines, the first-pick safe probability is 22/25, or 88%. Three consecutive safe picks fall to about 66.957%, and five to about 49.565%. Picks within one board are dependent, but wins and losses on an earlier board do not make a new board hot or cold.

Payouts are built near the inverse of success probability and then reduced by the operator margin. A published 99% RTP means a theoretical 99% return across an extremely large number of equivalent wagers, not a 99% refund on a particular board.

03

What provably fair can and cannot prove

A provably-fair process combines inputs such as a committed server seed, a client seed and a nonce. Revealing the server seed later lets a reviewer verify the earlier hash and reproduce the outcome.

This can show that the specified inputs reproduce the board. It does not guarantee profit, a favourable next board or short-run convergence to RTP. Verifiability and positive expected value are different claims.

04

Separate common strategy claims from the model

Opening corners first, avoiding the row that held the previous mine, or increasing the wager after a loss does not add information about a newly generated board. Bet progression changes the size and timing of swings, not expected value per unit wagered.

The measurable inputs are mine count, number of intended picks, displayed multiplier, published RTP and loss limit. Reframing the question from ‘which tile wins’ to ‘which probability and loss range am I selecting’ removes most of the illusion of control.

MODEL

Probability of k consecutive safe picks

Here m is the mine count and k is the number of non-repeating selections. Revealed tiles are not replaced, so the correct model uses combinations rather than one fixed probability raised to a power.

P(safe k picks) = C(25 − m, k) ÷ C(25, k)

DATA

Reference table

Theoretical probability by mine count and consecutive safe picks
Mines1 pick3 safe5 safe
196.000%88.000%80.000%
388.000%66.957%49.565%
580.000%49.565%29.181%
1060.000%19.783%5.652%

CALCULATOR

Change mine count and intended picks

The tool shows theoretical success probability and a reference multiplier after a 1% edge. Displayed payouts may differ through rounding or product changes.

Calculated result ... The calculator is an educational model, not a prediction or a recommendation to gamble.

The calculator is an educational model, not a prediction or a recommendation to gamble.

FAQ

Mines probability FAQ

Are some tile positions safer?

Not under the published model. A corner or centre selection does not reveal additional information about the hidden board.

What is the first-pick chance with three mines?

There are 22 safe tiles, so it is 22/25, or 88%. Five consecutive safe picks are about 49.565%.

Does 99% RTP return 99 for every 100 wagered?

No. RTP is a long-run theoretical average. A single board can lose the full wager.

Can Martingale remove the house edge?

No. A staking progression changes variance and ruin risk, not expected value.